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Finding the Fourth Proportional to 577.13, 864.45 and 423.32

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Solution

The fourth proportional to 577.13, 864.45 and 423.32 is: 634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.13 : 864.45 = 423.32 : x
  2. Step 2: Convert to fraction form
    577.13/864.45 = 423.32/x
  3. Step 3: Cross multiply
    577.13x = 864.45 × 423.32
  4. Step 4: Simplify right side
    577.13x = 365,934.65
  5. Step 5: Solve for x
    x = 365,934.65/577.13
  6. Step 6: Final answer
    x = 634.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.